6w^2-365w+8550=0

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Solution for 6w^2-365w+8550=0 equation:


Simplifying
6w2 + -365w + 8550 = 0

Reorder the terms:
8550 + -365w + 6w2 = 0

Solving
8550 + -365w + 6w2 = 0

Solving for variable 'w'.

Begin completing the square.  Divide all terms by
6 the coefficient of the squared term: 

Divide each side by '6'.
1425 + -60.83333333w + w2 = 0

Move the constant term to the right:

Add '-1425' to each side of the equation.
1425 + -60.83333333w + -1425 + w2 = 0 + -1425

Reorder the terms:
1425 + -1425 + -60.83333333w + w2 = 0 + -1425

Combine like terms: 1425 + -1425 = 0
0 + -60.83333333w + w2 = 0 + -1425
-60.83333333w + w2 = 0 + -1425

Combine like terms: 0 + -1425 = -1425
-60.83333333w + w2 = -1425

The w term is -60.83333333w.  Take half its coefficient (-30.41666667).
Square it (925.1736113) and add it to both sides.

Add '925.1736113' to each side of the equation.
-60.83333333w + 925.1736113 + w2 = -1425 + 925.1736113

Reorder the terms:
925.1736113 + -60.83333333w + w2 = -1425 + 925.1736113

Combine like terms: -1425 + 925.1736113 = -499.8263887
925.1736113 + -60.83333333w + w2 = -499.8263887

Factor a perfect square on the left side:
(w + -30.41666667)(w + -30.41666667) = -499.8263887

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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